code: def merge(*equations, **kwds):
      """merge bounds in a sequence of equations (e.g. ``[A<0, A>0] --> [A!=0]``)
  
      Args:
          equations (tuple(str)): a sequence of equations
          inclusive (bool, default=True): if False, bounds are exclusive
  
      Returns:
          tuple sequence of equations, where the bounds have been merged
  
      Notes:
          if bounds are invalid, returns ``None``
  
      Examples:
          >>> merge(*['A > 0', 'A > 0', 'B >= 0', 'B <= 0'], inclusive=False)
          ('A > 0', 'B = 0')
  
          >>> merge(*['A > 0', 'A > 0', 'B >= 0', 'B <= 0'], inclusive=True)
          ('A > 0',)"""
      inclusive = kwds["inclusive"] if "inclusive" in kwds else True
      if inclusive:
          """
          if ('X > 0', 'X < 0') then 'X != 0'
          if ('X > 0', 'X <= 0') then ''
          if ('X >= 0', 'X < 0') then ''
          if ('X >= 0', 'X <= 0') then ''
          """
          # sub >< with !=
          equations = tuple(
              i.replace(comparator(i), "!=")
              if (comparator(i) in (">", "<"))
              and (flip(i) in equations)
              else i
              for i in equations
          )
          # sub other inequality pairs with ''; delete duplicate entries
          equations = set(
              ""
              if (">" in i or "<" in i)
              and (flip(i) in equations or flip(i, True) in equations)
              else i
              for i in equations
          )
          # delete '' entries
          return tuple(i for i in equations if i != "")
      # else exclusive
      """
      if ('X > 0', 'X < 0') then None
      if ('X > 0', 'X <= 0') then None
      if ('X >= 0', 'X < 0') then None
      if ('X >= 0', 'X <= 0') then 'X = 0'
      """
      # sub >< with =
      equations = tuple(
          i.replace(comparator(i), "=")
          if (">=" in i or "<=" in i) and (flip(i) in equations)
          else i
          for i in equations
      )
      # sub other inequality pairs with None; delete duplicate entries
      equations = set(
          None
          if (">" in i or "<" in i)
          and (flip(i) in equations or flip(i, True) in equations)
          else i
          for i in equations
      )
      # if None in entries then return None (i.e. not valid)
      return None if None in equations else tuple(equations)
  
imports: from numpy import ndarray, asarray, any
  from mystic._symbolic import solve
  from mystic.tools import list_or_tuple_or_ndarray, flatten
label_desc: Use image node_id 7 for calling a global function with example usage: merge() and returns: unknown, tuple